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|
type 'a my_list =
| Item of ('a * 'a my_list)
| None
(** Return the length (number of elements) of a given list. *)
let length my_list =
let rec aux l n =
match l with
| Item (_, tl) -> aux tl (n + 1)
| None -> n
in aux my_list 0
(** Return the first element of the given list.
* Raise [Failure "hd"] if the list is empty.
*)
let hd = function
| Item (h, _) -> h
| None -> raise (Failure "hd")
(** Return the given list without its first element.
* Raise [Failure "tl"] if the list is empty.
*)
let tl = function
| Item (_, t) -> t
| None -> raise (Failure "Called tail on empty list")
(** Return the n-th element of the given list.
* Raise [Failure "hd"] or [Failure "tl"] if the list is too short.
* Raise [Invalid_argument "my_list.nth"] if n is negative.
*)
let rec nth my_list n =
match n with
| _ when n < 0 -> raise (Invalid_argument "my_list.nth")
| 0 -> (hd my_list)
| _ -> (nth (tl my_list) (n - 1))
(** Return the given list in the reverse order. *)
let rev my_list =
let rec aux my_list agg =
match my_list with
| Item(hd, tl) -> aux tl (Item(hd, agg))
| None -> agg
in aux my_list None
(** Return a list containing the result of f(x) for each element x in the given
* list. *)
let rec map f my_list =
match my_list with
| Item(hd, tl) -> Item(f hd, map f tl)
| None -> None
(** Return a list containing only the elements x in the given list for which
* f(x) returns true.
*)
let rec filter f my_list =
match my_list with
| None -> None
| Item(hd, tl) -> (
match f hd with
| true -> Item(hd, filter f tl)
| _ -> filter f tl
)
(** Return a list which results in the concatenation of l1 and l2. *)
let rec append l1 l2 =
match l1 with
| Item(hd, tl) -> Item(hd, (append tl l2))
| None -> l2
|
